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Math  /  Algebra

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Solve for n . 3+n=−103+n=-10
Answer Attempt 2 out of 2 n=15.7n=15.7 Submit Answer You have up to 10 questio. Files

Studdy Solution

STEP 1

1. The equation 3+n=−10 3 + n = -10 is asking us to solve for n n .
2. This is a one-step linear equation with one solution.
3. The equation involves basic algebraic operations, specifically addition and subtraction.

STEP 2

1. Understand the equation.
2. Isolate the variable n n by performing algebraic operations.
3. Check the solution by substituting it back into the original equation.

STEP 3

The equation 3+n=−10 3 + n = -10 indicates that when 3 is added to n n , the result is −10-10.

STEP 4

To isolate n n , we need to eliminate the 3 from the left side of the equation. We do this by subtracting 3 from both sides:
3+n−3=−10−3 3 + n - 3 = -10 - 3

STEP 5

Simplify both sides of the equation:
n=−13 n = -13

STEP 6

Check the solution by substituting n=−13 n = -13 back into the original equation:
3+(−13)=−10 3 + (-13) = -10

STEP 7

Simplify the left side:
−10=−10 -10 = -10
The left side equals the right side, confirming our solution is correct.
Therefore, the solution is:
−13 \boxed{-13}

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